The third proportional of (x².5)/(y¹.5) × Z ^(3.5)and X^(0.25) and x^(0.25) × (y ⁰.25)/(z⁻0.25) is ___

The third proportional of (x².5)/(y¹.5) × Z ^(3.5)and…

The third proportional of $\frac{x^2.5}{y^1.5}$ $\times$ $Z$ ^3.5and X^0.25 and x^0.25 $\times$ $\frac{y ^0.25}{z^-0.25}$ is _______________

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. $\frac{y^2}{x^2Z^3}$ .

A = x^2.5 / y^1.5 × z^3.5

B = x^0.25 × y^0.25 / z^-0.25 = x^0.25 y^0.25 z^0.25

Third proportional = B² / A

B² = x^0.5 y⁰^.5 z^0.5

So, B² / A = (x^0.5 y^0.5 z^0.5) / (x^2.5 y^-1.5 z^3.55)

= x^-2 y² z-³

= y² / (x² z³)